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Finding the Fourth Proportional to 9,201.77, 13,800.42 and 4,266.65

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Solution

The fourth proportional to 9,201.77, 13,800.42 and 4,266.65 is: 6,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.77 : 13,800.42 = 4,266.65 : x
  2. Step 2: Convert to fraction form
    9,201.77/13,800.42 = 4,266.65/x
  3. Step 3: Cross multiply
    9,201.77x = 13,800.42 × 4,266.65
  4. Step 4: Simplify right side
    9,201.77x = 58,881,492.99
  5. Step 5: Solve for x
    x = 58,881,492.99/9,201.77
  6. Step 6: Final answer
    x = 6,398.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.